You can focus on the two sub-triangles ABC and ACD
We know that they are both right triangles, because we're given that AC and BD are perpendicular.
The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:
But since we're given 
, the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.
Interest paid after 30 years is $494,546.99.
Solution:
Principal (P) = $195,000
Interest rate (r) = 4.3%
Time (t) = 30 years
n = number of times interest calculated per year
n = 1
Compound interest formula:
where A is the final amount
A = 689546.99
Interest = Amount - Principal
= 689546.99 - 195000
= 494546.99
Interest paid after 30 years is $494,546.99.
You simply divide 3 into 8, which results in 0.375. Now you add 7 to it, which is 7.375.
Answer:
P value is 0.1932
conclusion is that find value P greater than hypothesis test at the 0.05 level
Step-by-step explanation:
Given data
registered organ donors P = 40%
sample n = 200
registered organ donors x = 74
hypothesis test α = 0.05
to find out
P-value and state a conclusion
solution
we take a trail p less than 40 % i.e 0.40
so p = x/n
p = 74 / 200 = 0.37
so we find here Z value i.e
Z = p - P / √(PQ/n)
here Q = 1-p = 1-0.40 = 0.60
so Z = 0.37 - 0.40 / √(0.40×0.60/200)
Z = - 0.866
so p value for Z (-0.866) from z table
P value is 0.1932
and conclusion is that find value P greater than hypothesis test at the 0.05 level
